77641 has 2 divisors, whose sum is σ = 77642. Its totient is φ = 77640.

The previous prime is 77621. The next prime is 77647. The reversal of 77641 is 14677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 29241 = 220^2 + 171^2 .

It is a cyclic number.

It is not a de Polignac number, because 77641 - 2⁷ = 77513 is a prime.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (77647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38820 + 38821.

It is an arithmetic number, because the mean of its divisors is an integer number (38821).

2⁷⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

77641 is a deficient number, since it is larger than the sum of its proper divisors (1).

77641 is an equidigital number, since it uses as much as digits as its factorization.

77641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 77641 is about 278.6413465371. The cubic root of 77641 is about 42.6609353738.

The spelling of 77641 in words is "seventy-seven thousand, six hundred forty-one".